(X+6)(x-7)(X+2)(x-3)+180=0

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Solution for (X+6)(x-7)(X+2)(x-3)+180=0 equation: 


Simplifying
(X + 6)(x + -7)(X + 2)(x + -3) + 180 = 0

Reorder the terms:
(6 + X)(x + -7)(X + 2)(x + -3) + 180 = 0

Reorder the terms:
(6 + X)(-7 + x)(X + 2)(x + -3) + 180 = 0

Reorder the terms:
(6 + X)(-7 + x)(2 + X)(x + -3) + 180 = 0

Reorder the terms:
(6 + X)(-7 + x)(2 + X)(-3 + x) + 180 = 0

Multiply (6 + X) * (-7 + x)
(6(-7 + x) + X(-7 + x))(2 + X)(-3 + x) + 180 = 0
((-7 * 6 + x * 6) + X(-7 + x))(2 + X)(-3 + x) + 180 = 0
((-42 + 6x) + X(-7 + x))(2 + X)(-3 + x) + 180 = 0
(-42 + 6x + (-7 * X + x * X))(2 + X)(-3 + x) + 180 = 0
(-42 + 6x + (-7X + xX))(2 + X)(-3 + x) + 180 = 0

Reorder the terms:
(-42 + -7X + 6x + xX)(2 + X)(-3 + x) + 180 = 0
(-42 + -7X + 6x + xX)(2 + X)(-3 + x) + 180 = 0

Multiply (-42 + -7X + 6x + xX) * (2 + X)
(-42(2 + X) + -7X * (2 + X) + 6x * (2 + X) + xX(2 + X))(-3 + x) + 180 = 0
((2 * -42 + X * -42) + -7X * (2 + X) + 6x * (2 + X) + xX(2 + X))(-3 + x) + 180 = 0
((-84 + -42X) + -7X * (2 + X) + 6x * (2 + X) + xX(2 + X))(-3 + x) + 180 = 0
(-84 + -42X + (2 * -7X + X * -7X) + 6x * (2 + X) + xX(2 + X))(-3 + x) + 180 = 0
(-84 + -42X + (-14X + -7X2) + 6x * (2 + X) + xX(2 + X))(-3 + x) + 180 = 0
(-84 + -42X + -14X + -7X2 + (2 * 6x + X * 6x) + xX(2 + X))(-3 + x) + 180 = 0
(-84 + -42X + -14X + -7X2 + (12x + 6xX) + xX(2 + X))(-3 + x) + 180 = 0
(-84 + -42X + -14X + -7X2 + 12x + 6xX + (2 * xX + X * xX))(-3 + x) + 180 = 0
(-84 + -42X + -14X + -7X2 + 12x + 6xX + (2xX + xX2))(-3 + x) + 180 = 0

Combine like terms: -42X + -14X = -56X
(-84 + -56X + -7X2 + 12x + 6xX + 2xX + xX2)(-3 + x) + 180 = 0

Combine like terms: 6xX + 2xX = 8xX
(-84 + -56X + -7X2 + 12x + 8xX + xX2)(-3 + x) + 180 = 0

Multiply (-84 + -56X + -7X2 + 12x + 8xX + xX2) * (-3 + x)
(-84(-3 + x) + -56X * (-3 + x) + -7X2 * (-3 + x) + 12x * (-3 + x) + 8xX * (-3 + x) + xX2(-3 + x)) + 180 = 0
((-3 * -84 + x * -84) + -56X * (-3 + x) + -7X2 * (-3 + x) + 12x * (-3 + x) + 8xX * (-3 + x) + xX2(-3 + x)) + 180 = 0
((252 + -84x) + -56X * (-3 + x) + -7X2 * (-3 + x) + 12x * (-3 + x) + 8xX * (-3 + x) + xX2(-3 + x)) + 180 = 0
(252 + -84x + (-3 * -56X + x * -56X) + -7X2 * (-3 + x) + 12x * (-3 + x) + 8xX * (-3 + x) + xX2(-3 + x)) + 180 = 0
(252 + -84x + (168X + -56xX) + -7X2 * (-3 + x) + 12x * (-3 + x) + 8xX * (-3 + x) + xX2(-3 + x)) + 180 = 0
(252 + -84x + 168X + -56xX + (-3 * -7X2 + x * -7X2) + 12x * (-3 + x) + 8xX * (-3 + x) + xX2(-3 + x)) + 180 = 0
(252 + -84x + 168X + -56xX + (21X2 + -7xX2) + 12x * (-3 + x) + 8xX * (-3 + x) + xX2(-3 + x)) + 180 = 0
(252 + -84x + 168X + -56xX + 21X2 + -7xX2 + (-3 * 12x + x * 12x) + 8xX * (-3 + x) + xX2(-3 + x)) + 180 = 0
(252 + -84x + 168X + -56xX + 21X2 + -7xX2 + (-36x + 12x2) + 8xX * (-3 + x) + xX2(-3 + x)) + 180 = 0
(252 + -84x + 168X + -56xX + 21X2 + -7xX2 + -36x + 12x2 + (-3 * 8xX + x * 8xX) + xX2(-3 + x)) + 180 = 0
(252 + -84x + 168X + -56xX + 21X2 + -7xX2 + -36x + 12x2 + (-24xX + 8x2X) + xX2(-3 + x)) + 180 = 0
(252 + -84x + 168X + -56xX + 21X2 + -7xX2 + -36x + 12x2 + -24xX + 8x2X + (-3 * xX2 + x * xX2)) + 180 = 0
(252 + -84x + 168X + -56xX + 21X2 + -7xX2 + -36x + 12x2 + -24xX + 8x2X + (-3xX2 + x2X2)) + 180 = 0

Reorder the terms:
(252 + 168X + 21X2 + -84x + -36x + -56xX + -24xX + -7xX2 + -3xX2 + 12x2 + 8x2X + x2X2) + 180 = 0

Combine like terms: -84x + -36x = -120x
(252 + 168X + 21X2 + -120x + -56xX + -24xX + -7xX2 + -3xX2 + 12x2 + 8x2X + x2X2) + 180 = 0

Combine like terms: -56xX + -24xX = -80xX
(252 + 168X + 21X2 + -120x + -80xX + -7xX2 + -3xX2 + 12x2 + 8x2X + x2X2) + 180 = 0

Combine like terms: -7xX2 + -3xX2 = -10xX2
(252 + 168X + 21X2 + -120x + -80xX + -10xX2 + 12x2 + 8x2X + x2X2) + 180 = 0

Reorder the terms:
252 + 180 + 168X + 21X2 + -120x + -80xX + -10xX2 + 12x2 + 8x2X + x2X2 = 0

Combine like terms: 252 + 180 = 432
432 + 168X + 21X2 + -120x + -80xX + -10xX2 + 12x2 + 8x2X + x2X2 = 0

Solving
432 + 168X + 21X2 + -120x + -80xX + -10xX2 + 12x2 + 8x2X + x2X2 = 0

Solving for variable 'X'.

The solution to this equation could not be determined.

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